Let number of answers correctly given by Tom = x
Number of Incorrect answers = 10
Marks given to Tim for every correct answer = 4 Marks
Marks for incorrect answer= 0
Total Score = 76
The equation , when all the above statement are combined together
→4 x + 10 × 0 = 76
→ 4 x = 76
x = 19
Number of Right Answers = 19
Number of Wrong Answer= 10
Total Question = 19 + 10= 29
The total number of questions attempted by Tim is 29.
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
Assumption
Let the number of questions right answered by Tim be x.
Points gained by Tim for the right answer
= number of questions right answered x Points received for a right answer
[tex]= x \times 4\\= 4x[/tex]
Points gained by Tim for the wrong answer
= number of questions wrong answered x Points received for a wrong answer
[tex]= 10 \times 0\\= 0[/tex]
Total points gained by Tim
= Points gained for the right answer + Points gained for the wrong answer
[tex]76 = 4x + 10(0)\\76 = 4x\\\\x =\dfrac{76}{4}\\\\x = 19[/tex]
Thus, the number of question answered right by Tim are 19.
Total number of questions attempted by Tim
= number of questions answered right +number of questions answered Wrong
= 19 + 10
= 29
Hence, the total number of questions attempted by Tim is 29.
Learn more about Expression:
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